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Train Problems Worksheet

Quantitative aptitude lesson 21: Trains, boats and streams · Set 946 · 40 questions
TalentJR

The method (Length and relative speed): Change km/h to m/s (× 5/18) when lengths are in metres and time in seconds. Pole: time = train length ÷ speed. Platform: (train + platform) ÷ speed. Towards each other: add the speeds; same direction: take them away. Cover both lengths. Downstream = boat + stream; upstream = boat − stream. Boat = (down + up) ÷ 2; stream = (down − up) ÷ 2.

NameDateTime takenScore ___ / 40
  1. 1.Two trains, 150 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 36 km/h. How many seconds do they take to cross each other?
  2. 2.A boat goes 70 km downstream in 5 hours and 50 km upstream in 5 hours. What is the speed of the stream (in km/h)?
  3. 3.A boat goes 22 km downstream in 2 hours and 14 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  4. 4.A train running at 54 km/h passes a pole in 15 seconds. How long is the train (in metres)?
  5. 5.A boat goes at 20 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 108 km upstream and come back?
  6. 6.A train running at 90 km/h passes a pole in 5 seconds. How long is the train (in metres)?
  7. 7.A boat goes at 16 km/h in still water. The river flows at 15 km/h. How many hours does the boat take to go 31 km upstream and come back?
  8. 8.A train 240 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  9. 9.A train running at 72 km/h passes a pole in 19 seconds. How long is the train (in metres)?
  10. 10.A boat goes at 15 km/h in still water. The river flows at 13 km/h. How many hours does the boat take to go 84 km upstream and come back?
  11. 11.A train 275 m long runs at 90 km/h. How many seconds does it take to cross a platform 475 m long?
  12. 12.A train 135 m long runs at 54 km/h. How many seconds does it take to cross a platform 210 m long?
  13. 13.A train 280 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  14. 14.A train 500 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  15. 15.Two trains, 120 m and 180 m long, run towards each other on side-by-side tracks at 72 km/h and 36 km/h. How many seconds do they take to cross each other?
  16. 16.A train 440 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  17. 17.A train 550 m long runs at 90 km/h. How many seconds does it take to pass a pole?
  18. 18.A train running at 90 km/h passes a pole in 27 seconds. How long is the train (in metres)?
  19. 19.A train 100 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  20. 20.A train running at 72 km/h passes a pole in 29 seconds. How long is the train (in metres)?
  21. 21.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the stream (in km/h)?
  22. 22.A train 120 m long runs at 72 km/h. How many seconds does it take to cross a platform 200 m long?
  23. 23.A boat goes at 8 km/h in still water. The river flows at 7 km/h. How many hours does the boat take to go 30 km upstream and come back?
  24. 24.Two trains, 150 m and 235 m long, run towards each other on side-by-side tracks at 36 km/h and 90 km/h. How many seconds do they take to cross each other?
  25. 25.A train 160 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  26. 26.A boat goes at 17 km/h in still water. The river flows at 16 km/h. How many hours does the boat take to go 33 km upstream and come back?
  27. 27.A train 50 m long runs at 36 km/h. How many seconds does it take to pass a pole?
  28. 28.Two trains, 230 m and 70 m long, run towards each other on side-by-side tracks at 36 km/h and 54 km/h. How many seconds do they take to cross each other?
  29. 29.A train 125 m long runs at 90 km/h. How many seconds does it take to cross a platform 250 m long?
  30. 30.A train 300 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  31. 31.Two trains, 80 m and 145 m long, run towards each other on side-by-side tracks at 54 km/h and 36 km/h. How many seconds do they take to cross each other?
  32. 32.A train 270 m long runs at 54 km/h. How many seconds does it take to cross a platform 105 m long?
  33. 33.Two trains, 50 m and 335 m long, run towards each other on side-by-side tracks at 90 km/h and 36 km/h. How many seconds do they take to cross each other?
  34. 34.A train 540 m long runs at 72 km/h. How many seconds does it take to pass a pole?
  35. 35.A train running at 54 km/h passes a pole in 30 seconds. How long is the train (in metres)?
  36. 36.A train 200 m long runs at 90 km/h. How many seconds does it take to cross a platform 625 m long?
  37. 37.A boat goes at 7 km/h in still water. The river flows at 2 km/h. How many hours does the boat take to go 45 km upstream and come back?
  38. 38.A train running at 54 km/h passes a pole in 10 seconds. How long is the train (in metres)?
  39. 39.A boat goes 44 km downstream in 2 hours and 28 km upstream in 2 hours. What is the speed of the boat in still water (in km/h)?
  40. 40.Two trains, 70 m and 170 m long, run towards each other on side-by-side tracks at 54 km/h and 90 km/h. How many seconds do they take to cross each other?

Answer key

  1. 11
  2. 2
  3. 2
  4. 225
  5. 30
  6. 125
  7. 32
  8. 24
  9. 380
  10. 45
  11. 30
  12. 23
  13. 14
  14. 25
  15. 10
  16. 22
  17. 22
  18. 675
  19. 5
  20. 580
  21. 4
  22. 16
  23. 32
  24. 11
  25. 8
  26. 34
  27. 5
  28. 12
  29. 15
  30. 15
  31. 9
  32. 25
  33. 11
  34. 27
  35. 450
  36. 33
  37. 14
  38. 150
  39. 18
  40. 6

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